Answer Key of THE LAST LAP ANALYTICAL SKILLS-1

THE LAST LAP ANALYTICAL SKILLS-1

 Find exponent of 40 in 120!
A. 38   B. 28    C. 22    D. 42

In a competitive examination in state A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each state?
A. 8200                       B. 7500                        C. 7000                        D. 8000

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
A. Rs. 6400                 B. Rs. 7200                  C. Rs. 6500                  D. Rs. 7500

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
A. 62/3%         B. 20%             C. 21%                        D. 68/3%

15 men could finish a piece of work in 210 days. But at the end of 100 days, 15 additional men are employed. In how many more days will the work be complete?
A. 80 days                            B. 60 days                            C. 55 days                            D. 50 days

The total number of pupils in three classes of a school is 333. The number of pupils in classes I and II are in the ratio 3:5 and those in classes II and III are in the ratio 7 :11. Find the number of pupils in the class that had the highest number of pupils.
A. 63                      B. 105                    C. 165                    D. 180

A certain job was assigned to a group of men to do it in 20 days but 12 men did not turn up for the job and the remaining men did the job in 32 days. The original number of men in group was?
A. 32                      B. 34                      C. 36                      D. 40

 In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
A. 1 hour              B. 2 hour              C. 3 hour             D. 4 hour

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
A. 2:3                     B. 3:2                     C. 3:4                     D. 4:3

A boat takes 6 hours to travel a distance from point X to point Y upstream and then return back. The distance between X and Y is 24 kms. If the still speed of the boat is thrice the rate of current, find the still speed of the boat.
A. 9kmph             B. 6kmph             C. 12kmph           D. None of these

A man can swim at 5 km per hour velocity in still water. He takes 75 minutes to swim from position A to the position B and back in a river when it is flowing at 1 km per hour. The distance between A and B is?
A. 4KM                 B. 3KM                  C. 7KM                  D. 2KM

 Find the remainder of (47)⁹⁷/23
A. 1        B. 2         C. 3         D. 4

Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
A. 10                      B. 12                      C. 15                      D. 20

A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?

A. 12 cm               B. 10 cm               C. 18 cm                               D. 24 cm

 9¹+9²+9³+.........+9ⁿ when divide by 6 what will be the reminder. n should be multiple of 11 ?
A. 1                 B. 2                  C. 3                  D. 4

Raja has 4 tickets of a lottery for which 12 tickets were sold and 3 prices are to be given. What is the probability that Raja will win at least one price?
A. 41/55               B. 43/71                C. 24/55                                D. 23/61

A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A. 3.6 sec             B. 18 sec               C. 36 sec               D. 72 sec

Pipes A and B can fill a cistern in 15 hours together. But if these pipes operate separately A takes 40 hours less than B to fill the tank. In how many hours the pipe A will fill the cistern working alone?
A. 20                      B. 40                      C. 25                      D. 12

In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been
A. 24               B. 144              C. 292              D. 584

Find last two digits of (41)⁴⁷ + (39)⁵¹
A. 14   B. 19    C. 21    D. 20

The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is?
A. 3:8                     B. 9:16                   C. 9:32                                   D. 9:64

Ajay, Vijay and Sanjay are employed to do a piece of work for Rs 529. Ajay and Vijay together are supposed to do 19/23 of the work and Vijay and Sanjay together 8/23 of the work. How much should Ajay be paid?
A. Rs 245                              B. Rs 295                              C. Rs 300                              D. Rs 345 

A man takes thrice as long to row upstream as to row downstream the river. if the speed of the river is 2.5 kmph then what is the speed of man in still water?
A. 6kmph             B. 5kmph             C. 12kmph           D. None of these

Tap A can fill a tank in 20 hour, tap B in 25 hour but tap C can empty a full tank in 30 hour. Starting with A, followed by B and C, each tap is opened alternatively for 1 hour period till the tank get filled up completely. In how many hours will the tank be filled up completely?
A. 51 hour 44 min             B. 52 hour 23 min             C. 28 hour            D. 45 hour 35 min

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
A] 380             B] 395             C] 400             D] 425

 A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
A] 145             B] 253             C] 370             D] 352

 It is being given that (2³² + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
A] (2¹⁶ + 1)      B] (2¹⁶ – 1)      C] (7 x 2²³)      D] (2⁹⁶ + 1)

In school there are more than 501 students, they play cricket and hockey, exactly 20% play hockey and exactly 28% play cricket. How many students are in school?
A. 500             B. 600             C. 700             D. None of these

Each person in a group of 110 investors has investments in either equities or securities or both. Exactly  25% of  the  investors  in  equities  have  investments  in  securities,  and  exactly  40%  of  the investors in securities have investments in equities. How many have investments in equities?
A.60                B.80                 C.70                 D.90

The cost of raw material of a product increases by 30%, the manufacturing cost increases by 20% and the selling price of the product increases by 60%. The raw material and the manufacturing cost, originally, formed 40%  and 60% of the total cost respectively. If the original profit %  was one-fourth the original manufacturing cost, find the approximation new profit percentage.
A.48.39%                    B.54.68%                    C.62.48%                    D. 42.36%